393157 has 2 divisors, whose sum is σ = 393158. Its totient is φ = 393156.

The previous prime is 393143. The next prime is 393161. The reversal of 393157 is 751393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367236 + 25921 = 606^2 + 161^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-393157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196578 + 196579.

It is an arithmetic number, because the mean of its divisors is an integer number (196579).

2³⁹³¹⁵⁷ is an apocalyptic number.

It is an amenable number.

393157 is a deficient number, since it is larger than the sum of its proper divisors (1).

393157 is an equidigital number, since it uses as much as digits as its factorization.

393157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2835, while the sum is 28.

The square root of 393157 is about 627.0223281511. The cubic root of 393157 is about 73.2580471615.

Subtracting from 393157 its sum of digits (28), we obtain a square (393129 = 627²).

The spelling of 393157 in words is "three hundred ninety-three thousand, one hundred fifty-seven".